1. **State the problem:** Solve the equation $2n + 5 = 13$ for $n$. 2. **Use the formula:** To solve linear equations, isolate the variable by performing inverse operations. 3. **Step 1:** Subtract 5 from both sides: $$2n + 5 - 5 = 13 - 5$$ $$2n = 8$$ 4. **Step 2:** Divide both sides by 2: $$\frac{\cancel{2}n}{\cancel{2}} = \frac{8}{2}$$ $$n = 4$$ 5. **Answer:** $n = 4$. --- 1. **State the problem:** Solve the equation $3n - 4 = 11$ for $n$. 2. **Step 1:** Add 4 to both sides: $$3n - 4 + 4 = 11 + 4$$ $$3n = 15$$ 3. **Step 2:** Divide both sides by 3: $$\frac{\cancel{3}n}{\cancel{3}} = \frac{15}{3}$$ $$n = 5$$ 4. **Answer:** $n = 5$. --- 1. **State the problem:** Solve the equation $5n + 2 = 17$ for $n$. 2. **Step 1:** Subtract 2 from both sides: $$5n + 2 - 2 = 17 - 2$$ $$5n = 15$$ 3. **Step 2:** Divide both sides by 5: $$\frac{\cancel{5}n}{\cancel{5}} = \frac{15}{5}$$ $$n = 3$$ 4. **Answer:** $n = 3$. --- 1. **State the problem:** Solve the equation $\frac{n}{4} + 3 = 7$ for $n$. 2. **Step 1:** Subtract 3 from both sides: $$\frac{n}{4} + 3 - 3 = 7 - 3$$ $$\frac{n}{4} = 4$$ 3. **Step 2:** Multiply both sides by 4: $$4 \times \frac{n}{4} = 4 \times 4$$ $$n = 16$$ 4. **Answer:** $n = 16$.